CN114202160A - Fuzzy comprehensive evaluation method for rock drillability - Google Patents
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Abstract
The invention discloses a fuzzy comprehensive evaluation method for rock drillability, and belongs to the field of rock drilling construction evaluation. The method comprises the following steps: determining geological hydrological conditions, rock physical properties and rock mechanical properties as influence factors, wherein the influence factors comprise corresponding influence factor indexes; performing drillability grade division based on the influence factor indexes, and establishing a grade standard; collecting rock samples drilled at different depths as evaluated objects, and processing according to the influence factor indexes to obtain parameter values and corresponding grades of the influence factor indexes; constructing a rock drillability comprehensive evaluation model; and determining the fuzzy mathematical operator type, performing fuzzy comprehensive evaluation, and determining the evaluation result of the rock drillability according to the maximum membership principle. The invention not only can comprehensively evaluate the rock drillability in the pile foundation construction, but also can optimize the drilling parameters and the rock breaking tool according to the index weight of the influencing factors so as to better guide the construction, thereby improving the drilling efficiency and the economic benefit.
Description
Technical Field
The invention belongs to the field of rock drilling construction evaluation, and particularly relates to a fuzzy comprehensive evaluation method for rock drillability.
Background
With the high-speed development of economy, the construction scale of a road traffic system in China is larger and larger, and the network layout is improved day by day. In recent years, the number of grand bridges is increasing in the construction of high-grade highways, and the construction of bridge pile foundations under complex geological conditions is becoming more difficult, especially in soft soil-covered underburden rocks where pile foundations are drilled. The phenomena of slow drilling speed, serious drill bit abrasion and the like caused by inaccurate rock drillability estimation are frequent, so that the normal construction progress is influenced, and huge economic loss is caused. In order to improve the pile foundation drilling efficiency in the construction process and improve the economic benefit of pile foundation construction to the maximum extent, the drillability evaluation needs to be carried out on rock strata at different depths, so that the parameters can be flexibly adjusted and optimized in the subsequent drilling process, and the drilling construction can be better guided.
Due to the complexity of the nature of rocks and strata, the research and related procedures on the aspect of rock drillability at the present stage are not complete, the index of the drillability is not clear, and the evaluation of the rock drillability has the following defects: (1) at present, most of researches on the drillability of the rock are limited to mechanisms and influencing factors of different rock failure modes under a single factor, the drillability of the rock is a complex research system, the factors are numerous and influence each other, the measurement of the drillability of the rock by only one factor has defects, and a multi-factor comprehensive evaluation method for the drillability of the rock is lacked at present; (2) at present, the drillability of the rock is mostly considered as the performance in the aspect of press-in damage, but the force applied to the rock in the actual drilling process is manifold, the damage form of the rock is not single press-in damage, the rock also comprises splitting, tensile damage and the like, and the scientific and reasonable drillability evaluation is difficult to be given only through the macroscopic phenomenon of rock damage; (3) comprehensive consideration on geological and hydrological conditions such as rock mass structure, stratum structure and underground water is lacked in the drillability evaluation of the rock, and the drillability of the rock cannot be accurately evaluated only through the physical and mechanical properties of the rock.
Disclosure of Invention
The technical problem to be solved is as follows: aiming at the technical problems, the invention provides a fuzzy comprehensive evaluation method for rock drillability, which not only can comprehensively evaluate the rock drillability in pile foundation construction, but also can optimize drilling parameters and rock breaking tools according to the weight indexes of relevant influence factors so as to better guide the construction, thereby improving the drilling efficiency and the economic benefit.
The technical scheme is as follows: a fuzzy comprehensive evaluation method for rock drillability comprises the following steps:
step 1, determining geological hydrological conditions, rock physical properties and rock mechanical properties as influence factors, wherein the influence factors comprise corresponding influence factor indexes;
2, performing drillability grade division based on the influence factor indexes, and establishing grade standards of the influence factor indexes;
step 3, collecting rock samples drilled at different depths as evaluated objects, and processing according to the influence factor indexes to obtain parameter values and corresponding grades of each influence factor index;
step 4, constructing a rock drillability comprehensive evaluation model:
step 4-1, determining a factor set of the evaluated object according to the influence factors and the corresponding influence factor indexes;
step 4-2, determining a comment set of the evaluated object;
step 4-3, determining a weight set of the influence factor indexes by adopting an analytic hierarchy process;
4-4, constructing a fuzzy comprehensive evaluation matrix;
and 5, determining a fuzzy mathematical operator type, performing fuzzy comprehensive evaluation, and determining an evaluation result of the rock drillability according to the maximum membership principle.
Preferably, the impact factor indicators include rock mass structure, geological structure, groundwater, density, mohs hardness, quartz and iron content, compressive strength, elastic modulus and tensile strength.
Preferably, in step 2, the impact factor index grades are divided into four grades of hard, medium hard and soft according to the drilling speed.
Preferably, hard corresponds to a drilling rate of less than 0.2m/h, hard corresponds to a drilling rate of 0.2-0.5 m/h, medium hard corresponds to a drilling rate of 0.5-1.0 m/h, and soft corresponds to a drilling rate of greater than 1.0 m/h.
Preferably, the rock drillability comprehensive evaluation model adopts a two-layer fuzzy comprehensive evaluation system, wherein the influence factor is a criterion layer, and the influence factor index is an index layer.
Preferably, the step 4-1 is:
establishing a factor set U and a sub-factor set Ui=uij(i=1,2,3;j=1,2,3):
U={U1,U2,U3{ geological hydrological condition, petrophysical properties, petromechanical properties }
U1={u11,u12,u13Slab structure, stratum structure, underground water
U2={u21,u22,u23Density, mohs hardness, quartz and iron content }
U3={u31,u32,u33And { compressive strength, elastic modulus, tensile strength }.
Preferably, the step 4-2 is:
establishing a comment set V:
V={v1,v2,v3,v4hard, medium hard, soft.
Preferably, the steps 4 to 3 are as follows:
determining a weight set:
assigning values to the weights according to the importance degrees of different factors in the factor set, wherein the value assignment result set is the weight set, and A is { a ═ a1,a2,…,anRepresents;
wherein each element a in the seti(i-1, 2, …, n) represents the influence of the ith factor on the evaluated objectDegree, provided that a is 0. ltoreq. a.ltoreq.1, and
preferably, the fuzzy comprehensive evaluation matrix in the step 4-4 is calculated as follows:
defining the ith element u in the factor setiFor j evaluation grade v in comment setjDegree of membership of rijThen the one-factor evaluation vector can be represented as Ri={ri1,ri2,…,rim};
Wherein r isijCharacterizes the factor uiWith comment vjEvaluating the membership degree of the grade;
the membership degree combination of each factor of the evaluated object is the fuzzy comprehensive evaluation matrix of the factor set, and is expressed as follows:
preferably, the evaluation result in the step 5 is as follows:
wherein B represents a fuzzy set, A represents a weight set, R represents a fuzzy comprehensive evaluation matrix,and expressing fuzzy synthesis operation, and taking the comment with the largest contribution value by adopting a weighted average operator of a fuzzy set as the evaluation result.
Has the advantages that: (1) the method can effectively and comprehensively evaluate the rock drillability in the pile foundation construction process, obviously improve the evaluation precision of the rock drillability, optimize drilling parameters and rock breaking tools according to the weight of relevant influence factors at any time, and improve the drilling efficiency and the economic benefit.
(2) The method combines the fuzzy comprehensive evaluation method and the analytic hierarchy process, considers the factor indexes comprehensively and considers the mutual influence among the factor indexes, obtains a more practical result, and has higher reliability and better scientificity compared with other subjective valuation methods.
(3) According to the invention, based on three aspects of physical properties and mechanical properties of the rock and geological and hydrological conditions around the rock, a plurality of factors are comprehensively considered, so that the evaluation method can consider the actual conditions of different drilling environments, the fuzzy comprehensive evaluation result combines qualitative analysis and quantitative analysis, and the obtained evaluation result is more convincing.
Drawings
FIG. 1 is a flow chart of a fuzzy comprehensive evaluation method of rock drillability according to the present invention;
FIG. 2 is a schematic diagram of a comprehensive evaluation model of rock drillability according to the present invention;
FIG. 3 is a schematic diagram of the fuzzy comprehensive evaluation system of the present invention.
Detailed Description
The invention is further described below with reference to the accompanying drawings and specific embodiments.
Example 1
As shown in fig. 1, a fuzzy comprehensive evaluation method for rock drillability comprises the following steps:
step 1, determining geological hydrological conditions, rock physical properties and rock mechanical properties as influence factors according to basic properties of rocks and considering the influence of actual drilling environment, wherein the influence factors comprise corresponding influence factor indexes, and the influence factor indexes comprise rock mass structures, geological structures, underground water, density, Mohs hardness, quartz and iron component content, compressive strength, elastic modulus and tensile strength;
and 2, performing drillability grade division based on the influence factor indexes, and establishing grade standards of the influence factor indexes. Specifically, the drilling rate is divided into four grades of hard, medium hard and soft, and the grade standard of each influence factor index is as follows in tables 1 to 3:
TABLE 1 geological hydrological Condition impact factor index
Grade | Drilling speed (m/h) | Rock mass structure | Geological structure | Ground water |
Hard and hard | <0.2 | Complete block structure | Without faults and wrinkles | Without water seepage |
Hard | 0.2~0.5 | Layered structure | The influence of fault micro-development and fold is small | Less water seepage |
Middle hard | 0.5~1.0 | Fragmentation structure | The influence of cutting and wrinkling of fault parts is large | Large water seepage |
Soft | >1.0 | Discrete body structure | Fault penetration wall rock | Serious water seepage |
The standard of groundwater seepage is evaluated by a pressure head H (m), and the specific steps are as follows:
no water seepage: h is 0
Less water seepage: h is less than or equal to 10
The water seepage is large: h is more than 10 and less than or equal to 100
Serious water seepage: h is more than 100.
TABLE 2 rock physical Property Effect factor indices
Grade | Drilling speed (m/h) | Density (g/cm)3) | Mohs hardness | Quartz and iron content% |
Hard and hard | <0.2 | (2.6,3.1] | (5,10] | (75,100] |
Hard | 0.2~0.5 | (2.1,2.6] | (3,5] | (50,75] |
Middle hard | 0.5~1.0 | (1.7,2.1] | (1,3] | (25,50] |
Soft | >1.0 | [1.2,1.7] | (0,1] | [0,25] |
TABLE 3 rock mechanical Property Effect factor indices
Grade | Drilling speed (m/h) | Compressive strength (MPa) | Modulus of elasticity (GPa) | Tensile strength (MPa) |
Hard and hard | <0.2 | >150 | >30 | >15 |
Hard | 0.2~0.5 | (120,150] | (20,30] | (10,15] |
Middle hard | 0.5~1.0 | (70,120] | (10,20] | (5,10] |
Soft | >1.0 | [0,70] | [0,10] | [0,5] |
And 3, firstly, collecting rock samples on site at the drilling point positions according to geological exploration data, wherein not less than 3 groups of samples are collected within the depth range of the same geological condition, and the sampled samples are representative and typical and reflect the in-situ state of the drilling holes to the maximum extent.
And then processing according to the influence factor index, wherein the specific process is as follows: samples with complete structures, proper lengths and no obvious cracks are taken at different depths, sample preparation is carried out through a cutting machine, the collected rock samples are processed in corresponding modes respectively according to the determined influence factor index types, so that subsequent related tests can be conveniently carried out, corresponding parameters can be obtained, after the samples are preliminarily prepared, tools are used for processing to obtain higher accuracy, and the smooth surfaces of the samples are ensured without stripping and uneven phenomena;
(1) a standard cylindrical test piece with the height of 100mm and the diameter of 50mm is manufactured by cutting and polishing, wherein the diameter error of the test piece is less than 0.3 mm, the end surface nonparallel error is not more than 0.05 mm, and the standard cylindrical test piece is used for measuring the compressive strength and the density;
(2) processing the test piece into a cylindrical test piece with the height of 50mm and the diameter of 25mm by cutting and polishing, wherein the cylindrical test piece is used for measuring the tensile strength of the rock;
(3) and grinding the partially cut representative rock sample scraps into powder by using an agate grinding bowl, placing the powder in a shade place for natural air drying, and sieving the powder by using a 200-mesh sieve (0.075mm) for measuring the content of quartz and iron components.
And finally, acquiring parameter values and corresponding grades of each influence factor index, wherein the specific process is as follows:
(1) and judging the rock mass structure, the stratum structure and the underground water occurrence condition at the drill hole according to the geological survey data and the collected rock sample.
(2) Density: the density of the rock is the mass of a unit volume, the mass of the sample is obtained by weighing with an electronic scale, and the volume is measured by a vernier caliper to obtain the calculated average value of the height and the diameter of the cylindrical sample; when the length of the sample is measured, three different positions are selected along the long axis direction of the sample to measure and the average value is taken as an effective length value, and when the diameter of the sample is measured in the same way, three different positions are taken to measure and the average value is taken as an effective diameter.
(3) Mohs hardness: the hardness of the rock while drilling refers to the ability of the rock surface to resist locally penetration or penetration by the cutting teeth of the drill bit. Starting from a Mohs hardness meter with a lower value, using a mineral hardness meter with known Mohs hardness to scratch at the position of the smooth surface of the bedrock sample, and observing whether the scratched smooth surface of the bedrock sample has scratch marks or not until the Mohs hardness of the bedrock sample is between two Mohs hardness grades or is equivalent to the hardness value of a certain Mohs hardness meter.
(4) Content of quartz and iron components: the mineral components of common rocks in geotechnical engineering mainly comprise quartz, feldspar, calcite, mica and the like, wherein the quartz is a component with higher hardness and higher content, and the iron component content in sandstone is also higher. The contents of quartz and iron components are obtained by an X-ray diffraction analysis method.
(5) Compressive strength: in the process of 'hard-to-hard' of a drill bit and rock, the compressive strength of the rock is a factor which plays a main direct influence role, for typical siltstones, the higher the compressive strength is, the slower the drilling speed is, and the compressive strength of the rock is obtained by performing a triaxial test on a standard cylindrical sample.
(6) Modulus of elasticity: the elastic modulus is macroscopically the capability of the rock to resist elastic deformation, and microscopically is reflected by the bonding strength of molecular bonds and structural surfaces.
(7) Tensile strength: although rock drilling is visually expressed as compression, the rock stratum can be cracked and damaged under the action of pressure, and the tensile strength is obtained by adopting a Brazilian splitting test through a universal testing machine.
The parameters of the siltstone drillability influence factor index in this example were obtained from step 3, as shown in table 4.
TABLE 4 siltstone drillability influence factor index parameters
And 4, constructing a rock drillability comprehensive evaluation model by adopting a two-layer fuzzy comprehensive evaluation system as shown in fig. 2, wherein the influence factor is a criterion layer, and the influence factor index is an index layer as shown in fig. 3.
Step 4-1, determining a factor set of the evaluated object according to the influence factors and the corresponding influence factor indexes, wherein the method comprises the following steps:
establishing a factor set U and a sub-factor set Ui=uij(i=1,2,3;j=1,2,3):
Step 4-2, determining a comment set of the evaluated object, wherein the method comprises the following steps:
V={v1,v2,v3,v4{ hard, medium hard, soft };
and 4-3, determining a weight set of the influence factor indexes by adopting an analytic hierarchy process, wherein the specific calculation process is as follows:
(1) judging a matrix A according to the hierarchical structure of a fuzzy comprehensive evaluation system, wherein aij>1,aii=1,aji=1/aij
(4) For vectorPerforming normalization processing to obtain vector WiFor the calculated feature vector, the elements in the vector are the calculated weights;
(5) calculating the maximum eigenvalue of the judgment matrixWherein (EW)iThe i-th element representing the vector E · W;
(6) calculating a consistency indexAnd (5) carrying out consistency check. Taking CR as an evaluation index, when CR is less than 0.1, the judgment matrix is considered to pass the consistency test, and when CR is more than or equal to 0.1, the judgment matrix is considered to pass the consistency testFailed the consistency check; wherein CR is an consistency ratio, RI is an average consistency index, and n is 1-10 corresponding to the average consistency index shown in Table 5;
TABLE 5 reference value of average randomness index
n | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
RI | 0 | 0 | 0.52 | 0.89 | 1.12 | 1.26 | 1.36 | 1.41 | 1.46 | 1.49 |
(7) After the judgment matrix passes consistency check, the characteristic vector W of the characterization weight is obtained (W)1,w2,…,wn)T。
The weight set obtained is a ═ a1,a2,…,anThe expression is that the weight is assigned according to the importance degree of different factors in the factor set to obtain an assignment result; wherein each element a in the seti(i-1, 2, …, n) represents the influence degree of the ith factor on the evaluated object, and a is more than or equal to 0 and less than or equal to 1
The weights of the indicators of the influence factors obtained by calculation according to the above-described steps of the analytic hierarchy process are shown in table 6.
TABLE 6 influence factor index weights
Step 4-4, constructing a fuzzy comprehensive evaluation matrix, wherein the method comprises the following steps:
defining the ith element u in the factor setiFor j evaluation grade v in comment setjDegree of membership of rijThen the one-factor evaluation vector can be represented as Ri={ri1,ri2,…,rim};
Wherein r isijCharacterizes the factor uiWith comment vjDegree of membership of evaluation scale;
The membership degree combination of each factor of the evaluated object is the fuzzy comprehensive evaluation matrix of the factor set, and is expressed as follows:
and 5, determining a fuzzy mathematical operator type, performing fuzzy comprehensive evaluation, and determining an evaluation result of the rock drillability according to the maximum membership principle.
The fuzzy mathematical operator comprises four types:
i. taking the small one and taking the large M (V, V) type
M(∧,∨)=bj=max{min(a1,r1j),…,min(am,rmj)},(j=1,2,…,n)
Wherein the 'A' is a small value operation, the 'V' is a large value operation, the type is that a weight vector and a fuzzy comprehensive matrix are subjected to matrix multiplication, two elements in each column are taken down, and the maximum value is taken in the obtained one-dimensional vector;
WhereinThe method is a common real number multiplication operation, and the type is that a weight vector is multiplied by each row of elements in a fuzzy comprehensive matrix, and the maximum value is taken from an obtained one-dimensional vector;
WhereinCalculating a boundary sum, comparing the sum with a boundary 1, and multiplying the normalized weight vector by a fuzzy comprehensive evaluation matrix to obtain that each element is smaller than 1;
The weight vector is normalized by the type, and the influence of all factors can be considered without a process of taking the magnitude and discarding some factors.
Wherein B represents a fuzzy set, A represents a weight set, R represents a fuzzy comprehensive evaluation matrix,and expressing fuzzy synthesis operation, and taking the comment with the largest contribution value by adopting a weighted average operator of a fuzzy set as the evaluation result.
In the present embodiment, each factor is regarded as a discrete index, and the obtained drillability influencing factor variable score membership is shown in table 7.
TABLE 7 degree of membership of variable scores
Combining the drillability index parameters with the variable score membership degree, the fuzzy comprehensive evaluation matrix R of the geological hydrological conditions, the rock physical properties and the rock mechanical properties in the embodiment can be obtained1~R3;
The calculation model in this embodiment adopts a weighted average type, and the two-layer fuzzy comprehensive evaluation is calculated as follows:
(1) comprehensive fuzzy evaluation of index layer
Geological hydrological condition evaluation B1:
Evaluation of rock physical Properties B2:
Evaluation of rock mechanical Properties B3:
Fuzzy comprehensive evaluation B of index layer calculated by the above1、B2、B3And constructing a criterion layer fuzzy comprehensive evaluation matrix R in the embodiment:
the fuzzy set of drillability evaluation results is then:
according to the obtained fuzzy set B of the comprehensive evaluation of the drillability of the siltstone, [0.439,0.417,0.14,0.004], according to the principle of maximum membership degree, the maximum element of the vector numerical value is 0.439, the corresponding grade is 'hard', the drilling speed is 'less than 0.2 m/h', and the result of the evaluation of the drillability of the siltstone in the embodiment is hard.
The above description is only a preferred embodiment of the present invention, and does not limit the scope of the present invention, it should be noted that, for those skilled in the art, parameters such as several impact factor indicators may be added or modified without departing from the technical solution of the present invention, and such additions, deletions, substitutions and improvements should also be regarded as the scope of the present invention.
Claims (10)
1. A fuzzy comprehensive evaluation method for rock drillability is characterized by comprising the following steps:
step 1, determining geological hydrological conditions, rock physical properties and rock mechanical properties as influence factors, wherein the influence factors comprise corresponding influence factor indexes;
2, performing drillability grade division based on the influence factor indexes, and establishing grade standards of the influence factor indexes;
step 3, collecting rock samples drilled at different depths as evaluated objects, and processing according to the influence factor indexes to obtain parameter values and corresponding grades of each influence factor index;
step 4, constructing a rock drillability comprehensive evaluation model:
step 4-1, determining a factor set of the evaluated object according to the influence factors and the corresponding influence factor indexes;
step 4-2, determining a comment set of the evaluated object;
step 4-3, determining a weight set of the influence factor indexes by adopting an analytic hierarchy process;
4-4, constructing a fuzzy comprehensive evaluation matrix;
and 5, determining a fuzzy mathematical operator type, performing fuzzy comprehensive evaluation, and determining an evaluation result of the rock drillability according to the maximum membership principle.
2. The method of claim 1, wherein the impact factor indicators include rock mass structure, geological structure, groundwater, density, mohs hardness, quartz and ferrous content, compressive strength, elastic modulus and tensile strength.
3. The fuzzy comprehensive evaluation method for rock drillability according to claim 1, wherein in the step 2, the impact factor index grades are divided into four grades of hard, medium hard and soft according to the drilling speed.
4. A fuzzy synthesis evaluation method of rock drillability as claimed in claim 3, characterized in that hard corresponds to a drilling rate of less than 0.2m/h, hard corresponds to a drilling rate of 0.2-0.5 m/h, medium hard corresponds to a drilling rate of 0.5-1.0 m/h, soft corresponds to a drilling rate of more than 1.0 m/h.
5. The fuzzy comprehensive evaluation method of rock drillability according to claim 1, characterized in that the rock drillability comprehensive evaluation model adopts a two-layer fuzzy comprehensive evaluation system, wherein the influence factor is a criterion layer and the influence factor index is an index layer.
6. The fuzzy comprehensive evaluation method for rock drillability according to claim 1, characterized in that the step 4-1 is:
establishing a factor set U and a sub-factor set Ui=uij(i=1,2,3;j=1,2,3):
U={U1,U2,U3{ geological hydrological condition, petrophysical properties, petromechanical properties }
U1={u11,u12,u13Rock mass knotStructure, formation, groundwater }
U2={u21,u22,u23Density, mohs hardness, quartz and iron content }
U3={u31,u32,u33And { compressive strength, elastic modulus, tensile strength }.
7. The fuzzy comprehensive evaluation method for rock drillability according to claim 1, characterized in that the step 4-2 is:
establishing a comment set V:
V={v1,v2,v3,v4hard, medium hard, soft.
8. The fuzzy comprehensive evaluation method for rock drillability according to claim 1, characterized in that the steps 4-3 are as follows:
determining a weight set:
assigning values to the weights according to the importance degrees of different factors in the factor set, wherein the value assignment result set is the weight set, and A is { a ═ a1,a2,…,anRepresents; wherein each element a in the seti(i-1, 2, …, n) represents the influence degree of the ith factor on the evaluated object, and a is more than or equal to 0 and less than or equal to 1
9. The fuzzy comprehensive evaluation method for rock drillability according to claim 1, characterized in that the fuzzy comprehensive evaluation matrix in the steps 4-4 is calculated as follows:
defining the ith element u in the factor setiFor j evaluation grade v in comment setjDegree of membership of rijThen the one-factor evaluation vector can be represented as Ri={ri1,ri2,…,rim}; wherein r isijCharacterizes the factor uiHas the advantages ofComment vjEvaluating the membership degree of the grade; the membership degree combination of each factor of the evaluated object is the fuzzy comprehensive evaluation matrix of the factor set, and is expressed as follows:
10. the fuzzy comprehensive evaluation method for rock drillability according to claim 1, wherein the evaluation result in the step 5 is represented as follows:
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CN117252004B (en) * | 2023-09-15 | 2024-05-28 | 西南石油大学 | Rock drillability grade value linear regression prediction method considering local weighting |
CN117973191A (en) * | 2024-01-23 | 2024-05-03 | 中国矿业大学 | Surrounding rock comprehensive degradation degree real-time evaluation method based on while-drilling test |
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